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Finding the Fourth Proportional to 3,427.44, 5,141.16 and 962.25

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Solution

The fourth proportional to 3,427.44, 5,141.16 and 962.25 is: 1,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.44 : 5,141.16 = 962.25 : x
  2. Step 2: Convert to fraction form
    3,427.44/5,141.16 = 962.25/x
  3. Step 3: Cross multiply
    3,427.44x = 5,141.16 × 962.25
  4. Step 4: Simplify right side
    3,427.44x = 4,947,081.21
  5. Step 5: Solve for x
    x = 4,947,081.21/3,427.44
  6. Step 6: Final answer
    x = 1,443.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.